https://doi.org/10.1140/epjc/s10052-025-14931-2
Regular Article - Theoretical Physics
Flipping relation as a reduced star-star relation
1
Department of Physics, Istanbul University, 34134, Istanbul, Türkiye
2
Department of Physics, Bogazici University, Bebek, 34342, Istanbul, Türkiye
3
Feza Gursey Center for Physics and Mathematics, Bogazici University, Kandilli, 34684, Istanbul, Türkiye
a
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Received:
1
September
2025
Accepted:
13
October
2025
Published online:
21
October
2025
Abstract
In this paper, we consider the lens hyperbolic gamma solution to the star-star relation and the flipping relation from three-dimensional 
supersymmetric gauge theories on 
. We explore that a certain limit of the star-star relation yields the latter symmetry transformation, which exchanges the edge interactions of two outer spins with a centrally sited spin. Furthermore, we obtain more solutions to the flipping relation in terms of the hyperbolic gamma, basic hypergeometric, and the Euler gamma functions.
© The Author(s) 2025
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